Finding the Third Proportional to 165,685.50 and 357,849

Step by Step Solution

1. Step 1: Write the proportion equation
   165,685.50 : 357,849 = 357,849 : x
2. Step 2: Convert to fraction form
   165,685.50/357,849 = 357,849/x
3. Step 3: Cross multiply
   165,685.50x = 357,849 × 357,849
4. Step 4: Simplify right side
   165,685.50x = 128,055,906,801
5. Step 5: Solve for x
   x = 128,055,906,801/165,685.50
6. Step 6: Final answer
   x = 772,885.42